Finite-energy weak solutions and relaxation for a compressible kinetic--fluid system with locally averaged Brinkman force

Young-Pil Choi, Roman Shvydkoy

We study a kinetic--fluid system in which a Vlasov or Vlasov--Fokker--Planck equation is coupled to the compressible Navier--Stokes equations with density-dependent viscosities thr…